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28948992200 = 23525322272
BaseRepresentation
bin11010111101011111…
…101001000011001000
32202201111122011201022
4122331133221003020
5433241420222300
621144325212012
72043245242112
oct327537510310
982644564638
1028948992200
1111305a51347
12573ab61008
132964708bab
141588a203b2
15b4671e285
hex6bd7e90c8

28948992200 has 108 divisors (see below), whose sum is σ = 68903835315. Its totient is φ = 11311064960.

The previous prime is 28948992197. The next prime is 28948992227. The reversal of 28948992200 is 229984982.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 16977568804 + 11971423396 = 130298^2 + 109414^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=120310.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127528487 + ... + 127528713.

Almost surely, 228948992200 is an apocalyptic number.

28948992200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28948992200

28948992200 is an abundant number, since it is smaller than the sum of its proper divisors (39954843115).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28948992200 is an equidigital number, since it uses as much as digits as its factorization.

28948992200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 28948992200 in words is "twenty-eight billion, nine hundred forty-eight million, nine hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 227 265 424 454 530 908 1060 1135 1325 1816 2120 2270 2650 2809 4540 5300 5618 5675 9080 10600 11236 11350 12031 14045 22472 22700 24062 28090 45400 48124 51529 56180 60155 70225 96248 103058 112360 120310 140450 206116 240620 257645 280900 300775 412232 481240 515290 561800 601550 637643 1030580 1203100 1275286 1288225 2061160 2406200 2550572 2576450 2731037 3188215 5101144 5152900 5462074 6376430 10305800 10924148 12752860 13655185 15941075 21848296 25505720 27310370 31882150 54620740 63764300 68275925 109241480 127528600 136551850 144744961 273103700 289489922 546207400 578979844 723724805 1157959688 1447449610 2894899220 3618624025 5789798440 7237248050 14474496100 28948992200